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All Journal Jurnal Ekonomi JURNAL PUSTAKA KOMUNIKASI Indonesian Journal of Instructional Media and Model Jurnal El-Thawalib Journal of Mathematics UNP Journal of Management Accounting, Tax and Production Edutechnium Journal of Educational Technology Jurnal El-Thawalib
Wahyuni, Siska
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Religion Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Mathematics Social Sciences Other

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Journal : Journal of Mathematics UNP

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Analisis Kestabilan dan Kontrol Optimal pada Model Matematika Radikalisasi Wahyuni, Siska; Murni, Dewi
Journal of Mathematics UNP Vol 9, No 1 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i1.15664

Abstract

Radicalization is a process of adopting extremist views that lead to violent acts. Efforts that can be made to eradicate extreme violence are prevention, disengagement and deradicalization. This study aims to determine the mathematical model of radicalization using the susceptible, extremists, recruiters, treatment and Aware model (SERTA),   and to obtain stability analysis results and optimal control of the model. This is a fundamental or theoretical study. According to the model analysis, there are two equilibrium points namely the free and endemic equilibrium points. The stability analysis of the system resulted in a basic reproduction number of 0,012297 for the equilibrium point free and 1,339847 for endemic. The use of Pontryagin’s maximum principle will produce optimal control value is obtained, namely:(u_1 ) ̇=min{1,maks(0,1/c_1  (λ_1-λ_5 )S)},(u_2 ) ̇=min{1,maks(0,1/c_2  [(〖2λ〗_2-λ_4-λ_5 )E+(λ_3-λ_4 )R])},(u_3 ) ̇=min{1,maks(0,1/c_3  (λ_2-λ_5 )δT)}.Numerical simulations show that providing u_1, u_2 and u_3 controls can minimize the number of extremist and recruiter populations and minimize the aware population.
Co-Authors Ahmad, Nurul Qomariyah Azhar A, Al Dewi Murni HENDRA GUNAWAN B11211055 Hendra, Joni Hilliyani, Hilliyani Ismalisa, Ismalisa Marlita, Tiara Marnola, Ilham Novita Indrawati Rahmi, Yulia Ramanda, Bella Sartika, Lindu Umar, Ali Yeni Nuraeni, Yeni